Statistics: Confidence Interval Projects

This year, I had the privilege to instruct a non-AP statistics course of didactics for high schoolhouse juniors in addition to seniors who had finished Algebra two in addition to were non enrolled inwards upper degree math courses through our local applied scientific discipline center.  As a pocket-size high school, our math subdivision offers 10 sections of math: four sections of Algebra 1, three sections of Geometry, two sections of Algebra 2, in addition to 1 subdivision of an advanced math elective.  Last year, the elective was College Algebra.  This year, it is Statistics.  Next year, it volition last Trig/Pre-Calculus.  Our local applied scientific discipline pump offers Pre-Calculus in addition to AP-Calculus since many of the schools inwards our expanse are likewise pocket-size to offering those classes.

I had 5 juniors enrolled inwards my statistics course of didactics this year.  As 1 of our end-of-year projects, I asked students to enquire a inquiry nearly the population of students (168 students) at Drumright High School.  After getting their questions approved, students had to randomly choose 35 students using the random divulge generator on their figurer in addition to a listing of all the students inwards the schoolhouse that our schoolhouse secretarial assistant kindly printed off for us.  Next, they industrial plant life a means to detect out how that pupil would response their question.

Proof that nosotros are a pocket-size school: my students did non bring to truly come upward inwards contact alongside all of the students they randomly selected.  For example, 1 pupil wanted to know what proportion of DHS students play school-sponsored sports.  After doing his random selection, he could await at the listing in addition to directly know which students were in addition to were non enrolled inwards athletics.  For those students he was unfamiliar with, a quick inquiry to the residue of the course of didactics gave him the information he needed.

The collected information was used to detect their p-hat value.  I asked them to brand certain the atmospheric condition were met to shape a confidence interval.  And, I dictated that nosotros would last finding a 95% confidence interval.  If the atmospheric condition were met, their chore was to detect the confidence interval in addition to limited their results on a mini-poster.  These posters incorporate alone a summary of their work.  They showed all of their operate inwards item using the EMCCC model on a dissever sail of notebook paper.

I loved seeing how invested the students were inwards their projects.  It was swell to encounter them come upward up alongside their ain questions, generate their ain random samples, survey the students, perform the necessary calculations in addition to analysis, in addition to summarize their findings.

This has been my get-go fourth dimension e'er teaching statistics, in addition to therefore at that spot are definitely a lot of things I would similar to modify inwards the future.  But, I'm in addition to therefore glad I got the direct chances to instruct this course of didactics this year.  It's been awesome to last able to expose my students to a novel champaign of mathematics!    

Four out of my 5 students completed the project.  Here are their questions in addition to findings:

What percentage of DHS students ain an iphone?


What is the proportion of DHS students that bring at to the lowest degree 1 total sibling?


What proportion of DHS students participate inwards schoolhouse athletics? 


What percentage of DHS students invention on assist college inwards the nigh future? 

This 1 is difficult to read because the information was written in addition to therefore small.  

You tin last 95% confident that the actual proportion of Drumright students planning to attend college is somewhere betwixt 0.5132 in addition to 0.8268.



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